摘要
当反问题反演的函数不连续时,一般的正则化算法反演效果不令人满意,用全变差正则化方法对抛物型方程初始条件反问题进行求解,并进行了数值分析和数值模拟,结果显示数值解与真解吻合较好,表明该方法对于不连续函数求解具有高效、稳定等优点。
When the function of inverse problem is discontinuous, general regularization algorithm is not satisfied. Total variation regularization method was used to solve the parabolic equation initial conditions inverse problem, and numerical analysis and numerical simulation were carried out. The numerical results show that the numerical solution and theoretical solution are well consistent. The method for the discontinuous function is efficient and stable.
出处
《计算机应用》
CSCD
北大核心
2008年第B06期180-182,186,共4页
journal of Computer Applications
基金
国家自然科学基金资助项目(50579061)
关键词
反问题
不适定
全变差
正则化
迭代法
inverse problem
ill-posed
total variation
regularization
iteration
